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106747650 = 23252237217
BaseRepresentation
bin1100101110011…
…01011100000010
321102212100020200
412113031130002
5204311411100
614331550030
72434224432
oct627153402
9242770220
10106747650
11552900a9
122b8bb316
1319166bb9
141026a2c2
159588e00
hex65cd702

106747650 has 36 divisors (see below), whose sum is σ = 286796562. Its totient is φ = 28465920.

The previous prime is 106747633. The next prime is 106747651. The reversal of 106747650 is 56747601.

It can be written as a sum of positive squares in 3 ways, for example, as 90611361 + 16136289 = 9519^2 + 4017^2 .

It is a super-2 number, since 2×1067476502 = 22790121561045000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106747651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118159 + ... + 119058.

Almost surely, 2106747650 is an apocalyptic number.

106747650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106747650 is an abundant number, since it is smaller than the sum of its proper divisors (180048912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106747650 is a wasteful number, since it uses less digits than its factorization.

106747650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237235 (or 237227 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106747650 is about 10331.8754347892. The cubic root of 106747650 is about 474.3724306859.

The spelling of 106747650 in words is "one hundred six million, seven hundred forty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 237217 474434 711651 1186085 1423302 2134953 2372170 3558255 4269906 5930425 7116510 10674765 11860850 17791275 21349530 35582550 53373825 106747650